The number 87432
87432 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3643. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3643, 7286, 10929, 14572, 21858, 29144, 43716, 87432.
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How to work it out
- 1
What is special about 87432: a Harshad number: divisible by its digit sum 24.
- 2
87432 is composite. Its prime factorisation is
- 3
The divisors add up to 218640; without 87432 itself that is 131208, so 87432 is abundant (131208 is more than 87432). Euler's totient φ(87432) = 29136 numbers up to 87432 share no factor with it.
- 4
The digits of 87432 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87432 = 2^{3} \times 3 \times 3643 \]87432 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 218640 |
| Euler totient φ(n) | 29136 |
| Square | 7644354624 |
| Cube | 668361213485568 |
| Square root | 295.689026 (= 2√21858) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7432 × |
87432 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and thirty-two |
| Binary (base 2) | 10101010110001000 |
| Octal (base 8) | 252610 |
| Hexadecimal (base 16) | 15588 |
| Base 3 | 11102221020 |
| As time | 87432 seconds = 24 h 17 min 12 s |
Is 87432 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87432 ÷ 2 = 43716) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87432 ÷ 3 = 29144) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87432 ÷ 4 = 21858) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (87432 ÷ 6 = 14572) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (87432 ÷ 8 = 10929) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87432 ÷ 12 = 7286) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87432 a prime number?
No. 87432 = × 3 × 3643, so it is divisible by 2.
What are the factors of 87432?
1, 2, 3, 4, 6, 8, 12, 24, 3643, 7286, 10929, 14572, 21858, 29144, 43716, 87432.
What is 87432 in binary?
10101010110001000 (hexadecimal 15588, octal 252610).
What is the square root of 87432?
About 295.6890, exactly 2√21858.
Is 87432 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 87432?
87432 is a Harshad number: divisible by its digit sum 24.